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14083227648 = 216347379
BaseRepresentation
bin11010001110110110…
…10000000000000000
31100100111002002110000
431013123100000000
5212320301241043
610245244240000
71005665313510
oct150733200000
940314062400
1014083227648
115a77684416
122890540000
13143592c3c9
1497857d840
155765c32d3
hex3476d0000

14083227648 has 340 divisors, whose sum is σ = 48213156640. Its totient is φ = 4013162496.

The previous prime is 14083227623. The next prime is 14083227661. The reversal of 14083227648 is 84672238041.

It is a happy number.

It is a super-2 number, since 2×140832276482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37158723 + ... + 37159101.

Almost surely, 214083227648 is an apocalyptic number.

14083227648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106578320).

14083227648 is an abundant number, since it is smaller than the sum of its proper divisors (34129928992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14083227648 is an frugal number, since it uses more digits than its factorization.

14083227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14083227648 in words is "fourteen billion, eighty-three million, two hundred twenty-seven thousand, six hundred forty-eight".